Analysis of a quasilinear coupled magneto-quasistatic model: solvability and regularity of solutions
DOI10.1016/j.jmaa.2023.127033OpenAlexW4319991600MaRDI QIDQ2694272
Ralph Chill, Tatjana Stykel, Timo Reis
Publication date: 28 March 2023
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.15727
gradient systemsabstract differential-algebraic equationsmagnetic energyeddy current modelmagneto-quasistatic systems
PDEs in connection with optics and electromagnetic theory (35Q60) Implicit ordinary differential equations, differential-algebraic equations (34A09) PDEs of mixed type (35M10) Degenerate parabolic equations (35K65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Electromagnetic theory (general) (78A25) Electro- and magnetostatics (78A30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Linear functional analysis. An application-oriented introduction. Translated from the 6th German edition by Robert Nürnberg
- Differential-algebraic equations. A projector based analysis
- Frequency domain methods and decoupling of linear infinite dimensional differential algebraic systems
- Consistent initialization and perturbation analysis for abstract differential-algebraic equations
- On differential-algebraic equations in infinite dimensions
- On a class of degenerate abstract parabolic problems and applications to some eddy current models
- Optimal control of some quasilinear Maxwell equations of parabolic type
- Numerical analysis of nonlinear multiharmonic eddy current problems
- Optimal Control of Quasilinear $\boldsymbol{H}(\mathbf{curl})$-Elliptic Partial Differential Equations in Magnetostatic Field Problems
- A Unified Variational Formulation for the Parabolic-Elliptic Eddy Current Equations
- Winding functions in transient magnetoquasistatic field-circuit coupled simulations
- Nonlinear Degenerate Evolution Equations in Mixed Formulation
- A note on the justification of the eddy current model in electrodynamics
- Nonlinear Degenerate Evolution Equations and Partial Differential Equations of Mixed Type
- Systems of Differential Algebraic Equations in Computational Electromagnetics
- Abstract Parabolic Evolution Equations and their Applications
- Finite Element Methods for Navier-Stokes Equations
- One-Parameter Semigroups for Linear Evolution Equations
- Geometric Multivector Analysis
- A coupled Maxwell integrodifferential model for magnetization processes
- Nonlinear Differential Equations of Monotone Types in Banach Spaces
- Nonlinear semigroups generated by \(j\)-elliptic functionals
This page was built for publication: Analysis of a quasilinear coupled magneto-quasistatic model: solvability and regularity of solutions